Problems

20.1

De Broglie wavelength. Estimate the ratio of the de Broglie wavelength of a conduction band electron in GaAs and a free-electron in vacuum that move at the same velocity.

20.2

Number of states. Evaluate the number of states in the conduction band of GaAs (\(m_\mathrm{e} =0.07\) m\(_0\)) that are available at the energy \(E_\mathrm{g} + 26\) meV in an energy interval of 1 meV for different cases.

(a)

The semiconductor is three-dimensional.

(b)

The semiconductor is Two-dimensional.

(c)

The semiconductor is One-dimensional.

20.3

Frequency distance of the longitudinal modes of a waveguide Fabry–Perot resonator. Evaluate the frequency distance of longitudinal modes of a GaAs waveguide Fabry–Perot resonator (\(n =3.6\)) of a length of 1 mm.